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Finding the Third Proportional to 219,938 and 470,980

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Solution

The third proportional to 219,938 and 470,980 is: 1,008,566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,938 : 470,980 = 470,980 : x
  2. Step 2: Convert to fraction form
    219,938/470,980 = 470,980/x
  3. Step 3: Cross multiply
    219,938x = 470,980 × 470,980
  4. Step 4: Simplify right side
    219,938x = 221,822,160,400
  5. Step 5: Solve for x
    x = 221,822,160,400/219,938
  6. Step 6: Final answer
    x = 1,008,566.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.